%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT238-1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n018.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:29:57 AM UTC 2026 % Result : Unsatisfiable 19.88s 20.07s % Output : Proof 19.88s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT238-1 : TPTP v9.2.1. Released v3.1.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n018.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 06:05:35 EDT 2026 % 0.18/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/16.18 --- Run --no-e-matching --full-saturate-quant at 6... % 19.88/20.07 % SZS status Unsatisfiable % 19.88/20.07 % SZS output start Proof % 19.88/20.08 ( % 19.88/20.08 (declare-sort $$unsorted 0) % 19.88/20.08 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 19.88/20.08 (declare-const tptp.one $$unsorted) % 19.88/20.08 (declare-const tptp.a $$unsorted) % 19.88/20.08 (declare-const tptp.zero $$unsorted) % 19.88/20.08 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 19.88/20.08 (declare-const tptp.b $$unsorted) % 19.88/20.08 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 19.88/20.08 (define @t1 () (@var "X" $$unsorted)) % 19.88/20.08 (define @t2 () (tptp.meet @t1 @t1)) % 19.88/20.08 (define @t3 () (@list @t1)) % 19.88/20.08 (define @t4 () (forall @t3 (= @t2 @t1))) % 19.88/20.08 (define @t5 () (tptp.join @t1 @t1)) % 19.88/20.08 (define @t6 () (forall @t3 (= @t5 @t1))) % 19.88/20.08 (define @t7 () (@var "Y" $$unsorted)) % 19.88/20.08 (define @t8 () (tptp.join @t1 @t7)) % 19.88/20.08 (define @t9 () (tptp.meet @t1 @t8)) % 19.88/20.08 (define @t10 () (@list @t1 @t7)) % 19.88/20.08 (define @t11 () (forall @t10 (= @t9 @t1))) % 19.88/20.08 (define @t12 () (tptp.meet @t1 @t7)) % 19.88/20.08 (define @t13 () (tptp.join @t1 @t12)) % 19.88/20.08 (define @t14 () (forall @t10 (= @t13 @t1))) % 19.88/20.08 (define @t15 () (@var "Z" $$unsorted)) % 19.88/20.08 (define @t16 () (@list @t1 @t7 @t15)) % 19.88/20.08 (define @t17 () (tptp.complement @t1)) % 19.88/20.08 (define @t18 () (tptp.join @t1 @t17)) % 19.88/20.08 (define @t19 () (forall @t3 (= @t18 tptp.one))) % 19.88/20.08 (define @t20 () (tptp.meet @t1 @t17)) % 19.88/20.08 (define @t21 () (forall @t3 (= @t20 tptp.zero))) % 19.88/20.08 (define @t22 () (not (= @t8 tptp.one))) % 19.88/20.08 (define @t23 () (not (= @t12 tptp.zero))) % 19.88/20.08 (define @t24 () (or @t23 @t22 (= @t17 @t7))) % 19.88/20.08 (define @t25 () (forall @t10 @t24)) % 19.88/20.08 (define @t26 () (@var "U" $$unsorted)) % 19.88/20.08 (define @t27 () (tptp.meet tptp.b tptp.a)) % 19.88/20.08 (define @t28 () (tptp.complement tptp.a)) % 19.88/20.08 (define @t29 () (tptp.complement tptp.b)) % 19.88/20.08 (define @t30 () (@list tptp.a @t28)) % 19.88/20.08 (define @t31 () (tptp.meet tptp.a @t28)) % 19.88/20.08 (define @t32 () (@list @t31 tptp.a)) % 19.88/20.08 (define @t33 () (tptp.meet @t31 @t31)) % 19.88/20.08 (define @t34 () (tptp.join @t29 @t33)) % 19.88/20.08 (define @t35 () (@list tptp.a)) % 19.88/20.08 (define @t36 () (@list @t29)) % 19.88/20.08 (define @t37 () (tptp.complement @t29)) % 19.88/20.08 (define @t38 () (tptp.meet @t29 @t37)) % 19.88/20.08 (define @t39 () (= tptp.b @t37)) % 19.88/20.08 (define @t40 () (tptp.join @t29 tptp.b)) % 19.88/20.08 (define @t41 () (not (= @t40 tptp.one))) % 19.88/20.08 (define @t42 () (tptp.meet @t29 tptp.b)) % 19.88/20.08 (define @t43 () (not (= @t42 tptp.zero))) % 19.88/20.08 (define @t44 () (or @t43 @t41 @t39)) % 19.88/20.08 (define @t45 () (forall @t10 (or @t23 @t22 (= @t7 @t17)))) % 19.88/20.08 (define @t46 () (= tptp.one @t40)) % 19.88/20.08 (define @t47 () (not @t46)) % 19.88/20.08 (define @t48 () (= tptp.zero @t42)) % 19.88/20.08 (define @t49 () (not @t48)) % 19.88/20.08 (define @t50 () (or @t49 @t47 @t39)) % 19.88/20.08 (define @t51 () (@list false)) % 19.88/20.08 (define @t52 () (@list @t45)) % 19.88/20.08 (define @t53 () (@list tptp.b @t29)) % 19.88/20.08 (define @t54 () (@list tptp.b)) % 19.88/20.08 (define @t55 () (@list false false false)) % 19.88/20.08 (define @t56 () (@list tptp.b tptp.a @t28)) % 19.88/20.08 (define @t57 () (tptp.meet @t29 @t31)) % 19.88/20.08 (define @t58 () (tptp.join @t28 @t29)) % 19.88/20.08 (define @t59 () (tptp.join tptp.b tptp.b)) % 19.88/20.08 (define @t60 () (tptp.join @t28 @t27)) % 19.88/20.08 (define @t61 () (@list tptp.b tptp.a)) % 19.88/20.08 (define @t62 () (tptp.join @t28 (tptp.meet tptp.b tptp.b))) % 19.88/20.08 (define @t63 () (tptp.join tptp.b @t62)) % 19.88/20.08 (define @t64 () (tptp.join tptp.a @t33)) % 19.88/20.08 (define @t65 () (tptp.join @t31 @t64)) % 19.88/20.08 (define @t66 () (tptp.join tptp.b (tptp.meet tptp.a @t29))) % 19.88/20.08 (define @t67 () (tptp.join @t28 @t66)) % 19.88/20.08 (define @t68 () (tptp.meet @t29 @t67)) % 19.88/20.08 (define @t69 () (tptp.join @t28 @t68)) % 19.88/20.08 (define @t70 () (tptp.complement @t28)) % 19.88/20.08 (define @t71 () (= tptp.a @t70)) % 19.88/20.08 (define @t72 () (tptp.join @t28 tptp.a)) % 19.88/20.08 (define @t73 () (not (= @t72 tptp.one))) % 19.88/20.08 (define @t74 () (tptp.meet @t28 tptp.a)) % 19.88/20.08 (define @t75 () (not (= @t74 tptp.zero))) % 19.88/20.08 (define @t76 () (or @t75 @t73 @t71)) % 19.88/20.08 (define @t77 () (= tptp.one @t72)) % 19.88/20.08 (define @t78 () (not @t77)) % 19.88/20.08 (define @t79 () (= tptp.zero @t74)) % 19.88/20.08 (define @t80 () (not @t79)) % 19.88/20.08 (define @t81 () (or @t80 @t78 @t71)) % 19.88/20.08 (define @t82 () (tptp.meet @t28 @t31)) % 19.88/20.08 (define @t83 () (tptp.meet @t27 @t28)) % 19.88/20.08 (define @t84 () (tptp.join @t29 (tptp.meet @t31 tptp.a))) % 19.88/20.08 (define @t85 () (tptp.join @t28 @t84)) % 19.88/20.08 (define @t86 () (tptp.join tptp.a @t85)) % 19.88/20.08 (define @t87 () (not (= @t86 tptp.one))) % 19.88/20.08 (define @t88 () (tptp.meet tptp.a @t85)) % 19.88/20.08 (define @t89 () (not (= @t88 tptp.zero))) % 19.88/20.08 (define @t90 () (or @t89 @t87 (= @t85 @t28))) % 19.88/20.08 (define @t91 () (= @t28 @t85)) % 19.88/20.08 (define @t92 () (= tptp.one @t86)) % 19.88/20.08 (define @t93 () (not @t92)) % 19.88/20.08 (define @t94 () (= tptp.zero @t88)) % 19.88/20.08 (define @t95 () (not @t94)) % 19.88/20.08 (define @t96 () (or @t95 @t93 @t91)) % 19.88/20.08 (define @t97 () (tptp.meet @t37 @t31)) % 19.88/20.08 (define @t98 () (@list @t63 @t29)) % 19.88/20.08 (assume @p1 @t4) % 19.88/20.08 (assume @p2 @t6) % 19.88/20.08 (assume @p3 @t11) % 19.88/20.08 (assume @p4 @t14) % 19.88/20.08 (assume @p5 (forall @t10 (= @t12 (tptp.meet @t7 @t1)))) % 19.88/20.08 (assume @p6 (forall @t10 (= @t8 (tptp.join @t7 @t1)))) % 19.88/20.08 (assume @p7 (forall @t16 (= (tptp.meet @t12 @t15) (tptp.meet @t1 (tptp.meet @t7 @t15))))) % 19.88/20.08 (assume @p8 (forall @t16 (= (tptp.join @t8 @t15) (tptp.join @t1 (tptp.join @t7 @t15))))) % 19.88/20.08 (assume @p9 @t19) % 19.88/20.08 (assume @p10 @t21) % 19.88/20.08 (assume @p11 @t25) % 19.88/20.08 (assume @p12 (forall (@list @t1 @t7 @t15 @t26) (= (tptp.meet @t1 (tptp.join @t7 (tptp.meet @t15 (tptp.join @t1 @t26)))) (tptp.meet @t1 (tptp.join @t7 (tptp.meet @t15 (tptp.join @t7 (tptp.join @t26 (tptp.meet @t1 @t15))))))))) % 19.88/20.08 (assume @p13 (= @t27 tptp.a)) % 19.88/20.08 (assume @p14 (not (= (tptp.join @t29 @t28) @t28))) % 19.88/20.08 (step @p15 :rule eq-symm :args (@t13 @t1)) % 19.88/20.08 (step @p16 :rule cong :premises (@p15) :args (@t14)) % 19.88/20.08 (step @p17 :rule eq_resolve :premises (@p4 @p16)) % 19.88/20.08 (step @p18 :rule instantiate :premises (@p17) :args (@t30)) % 19.88/20.08 (step @p19 :rule symm :premises (@p18)) % 19.88/20.08 (step @p20 :rule instantiate :premises (@p6) :args (@t32)) % 19.88/20.08 (step @p21 :rule trans :premises (@p20 @p19)) % 19.88/20.08 (step @p22 :rule refl :args (@t31)) % 19.88/20.08 (step @p23 :rule cong :premises (@p22 @p21) :args ((tptp.meet @t31 (tptp.join @t31 tptp.a)))) % 19.88/20.08 (step @p24 :rule eq-symm :args (@t9 @t1)) % 19.88/20.08 (step @p25 :rule cong :premises (@p24) :args (@t11)) % 19.88/20.08 (step @p26 :rule eq_resolve :premises (@p3 @p25)) % 19.88/20.08 (step @p27 :rule instantiate :premises (@p26) :args (@t32)) % 19.88/20.08 (step @p28 :rule eq-symm :args (@t2 @t1)) % 19.88/20.08 (step @p29 :rule cong :premises (@p28) :args (@t4)) % 19.88/20.08 (step @p30 :rule eq_resolve :premises (@p1 @p29)) % 19.88/20.08 (step @p31 :rule instantiate :premises (@p30) :args ((@list @t31))) % 19.88/20.08 (step @p32 :rule symm :premises (@p31)) % 19.88/20.08 (step @p33 :rule trans :premises (@p32 @p27 @p23)) % 19.88/20.08 (step @p34 :rule refl :args (@t29)) % 19.88/20.08 (step @p35 :rule cong :premises (@p34 @p33) :args (@t34)) % 19.88/20.08 (step @p36 :rule eq-symm :args (@t20 tptp.zero)) % 19.88/20.08 (step @p37 :rule cong :premises (@p36) :args (@t21)) % 19.88/20.08 (step @p38 :rule eq_resolve :premises (@p10 @p37)) % 19.88/20.08 (step @p39 :rule instantiate :premises (@p38) :args (@t35)) % 19.88/20.08 (step @p40 :rule instantiate :premises (@p38) :args (@t36)) % 19.88/20.08 (step @p41 :rule symm :premises (@p40)) % 19.88/20.08 (step @p42 :rule trans :premises (@p41 @p39)) % 19.88/20.08 (step @p43 :rule cong :premises (@p42 @p22) :args ((tptp.meet @t38 @t31))) % 19.88/20.08 (step @p44 :rule instantiate :premises (@p7) :args ((@list @t29 @t37 @t31))) % 19.88/20.08 (step @p45 :rule symm :premises (@p44)) % 19.88/20.08 (step @p46 :rule eq-symm :args (@t17 @t7)) % 19.88/20.08 (step @p47 :rule refl :args (@t22)) % 19.88/20.08 (step @p48 :rule refl :args (@t23)) % 19.88/20.08 (step @p49 :rule nary_cong :premises (@p48 @p47 @p46) :args (@t24)) % 19.88/20.08 (step @p50 :rule cong :premises (@p49) :args (@t25)) % 19.88/20.08 (step @p51 :rule eq_resolve :premises (@p11 @p50)) % 19.88/20.08 (step @p52 :rule refl :args (@t39)) % 19.88/20.08 (step @p53 :rule eq-symm :args (@t40 tptp.one)) % 19.88/20.08 (step @p54 :rule cong :premises (@p53) :args (@t41)) % 19.88/20.08 (step @p55 :rule eq-symm :args (@t42 tptp.zero)) % 19.88/20.08 (step @p56 :rule cong :premises (@p55) :args (@t43)) % 19.88/20.08 (step @p57 :rule nary_cong :premises (@p56 @p54 @p52) :args (@t44)) % 19.88/20.08 (step @p58 :rule refl :args (@t45)) % 19.88/20.08 (step @p59 :rule cong :premises (@p58 @p57) :args ((=> @t45 @t44))) % 19.88/20.08 (assume-push @p260 @t45) % 19.88/20.08 (step @p61 :rule instantiate :premises (@p51) :args ((@list @t29 tptp.b))) % 19.88/20.08 (step-pop @p261 :rule scope :premises (@p61)) % 19.88/20.08 (step @p62 :rule process_scope :premises (@p261) :args (@t44)) % 19.88/20.08 (step @p64 :rule eq_resolve :premises (@p62 @p59)) % 19.88/20.08 (step @p65 :rule implies_elim :premises (@p64)) % 19.88/20.08 (step @p66 :rule chain_m_resolution :premises (@p65 @p51) :args (@t50 @t51 @t52)) % 19.88/20.08 (step @p67 :rule instantiate :premises (@p6) :args (@t53)) % 19.88/20.08 (step @p68 :rule eq-symm :args (@t18 tptp.one)) % 19.88/20.08 (step @p69 :rule cong :premises (@p68) :args (@t19)) % 19.88/20.08 (step @p70 :rule eq_resolve :premises (@p9 @p69)) % 19.88/20.08 (step @p71 :rule instantiate :premises (@p70) :args (@t54)) % 19.88/20.08 (step @p72 :rule trans :premises (@p71 @p67)) % 19.88/20.08 (step @p73 :rule instantiate :premises (@p5) :args (@t53)) % 19.88/20.08 (step @p74 :rule instantiate :premises (@p38) :args (@t54)) % 19.88/20.08 (step @p75 :rule trans :premises (@p74 @p73)) % 19.88/20.08 (step @p76 :rule cnf_or_pos :args (@t50)) % 19.88/20.08 (step @p77 :rule reordering :premises (@p76) :args ((or @t39 @t49 @t47 (not @t50)))) % 19.88/20.08 (step @p78 :rule chain_m_resolution :premises (@p77 @p75 @p72 @p66) :args (@t39 @t55 (@list @t48 @t46 @t50))) % 19.88/20.08 (step @p79 :rule cong :premises (@p78 @p22) :args ((tptp.meet tptp.b @t31))) % 19.88/20.08 (step @p80 :rule instantiate :premises (@p7) :args (@t56)) % 19.88/20.08 (step @p81 :rule refl :args (@t28)) % 19.88/20.08 (step @p82 :rule symm :premises (@p13)) % 19.88/20.08 (step @p83 :rule cong :premises (@p82 @p81) :args (@t31)) % 19.88/20.08 (step @p84 :rule trans :premises (@p83 @p80 @p79)) % 19.88/20.08 (step @p85 :rule cong :premises (@p34 @p84) :args (@t57)) % 19.88/20.08 (step @p86 :rule trans :premises (@p85 @p45 @p43)) % 19.88/20.08 (step @p87 :rule cong :premises (@p34 @p86) :args ((tptp.join @t29 @t57))) % 19.88/20.08 (step @p88 :rule instantiate :premises (@p17) :args ((@list @t29 @t31))) % 19.88/20.08 (step @p89 :rule trans :premises (@p88 @p87 @p35)) % 19.88/20.08 (step @p90 :rule cong :premises (@p81 @p89) :args (@t58)) % 19.88/20.08 (step @p91 :rule instantiate :premises (@p26) :args ((@list @t29 @t37))) % 19.88/20.08 (step @p92 :rule symm :premises (@p91)) % 19.88/20.08 (step @p93 :rule instantiate :premises (@p70) :args (@t36)) % 19.88/20.08 (step @p94 :rule symm :premises (@p71)) % 19.88/20.08 (step @p95 :rule eq-symm :args (@t5 @t1)) % 19.88/20.08 (step @p96 :rule cong :premises (@p95) :args (@t6)) % 19.88/20.08 (step @p97 :rule eq_resolve :premises (@p2 @p96)) % 19.88/20.08 (step @p98 :rule instantiate :premises (@p97) :args (@t54)) % 19.88/20.08 (step @p99 :rule symm :premises (@p98)) % 19.88/20.08 (step @p100 :rule cong :premises (@p99 @p34) :args ((tptp.join @t59 @t29))) % 19.88/20.08 (step @p101 :rule instantiate :premises (@p8) :args ((@list tptp.b tptp.b @t29))) % 19.88/20.08 (step @p102 :rule symm :premises (@p101)) % 19.88/20.08 (step @p103 :rule instantiate :premises (@p70) :args (@t35)) % 19.88/20.08 (step @p104 :rule symm :premises (@p103)) % 19.88/20.08 (step @p105 :rule instantiate :premises (@p6) :args (@t30)) % 19.88/20.08 (step @p106 :rule symm :premises (@p105)) % 19.88/20.08 (step @p107 :rule cong :premises (@p81 @p13) :args (@t60)) % 19.88/20.08 (step @p108 :rule trans :premises (@p107 @p106 @p104 @p71)) % 19.88/20.08 (step @p109 :rule refl :args (tptp.b)) % 19.88/20.08 (step @p110 :rule cong :premises (@p109 @p108) :args ((tptp.join tptp.b @t60))) % 19.88/20.08 (step @p111 :rule symm :premises (@p107)) % 19.88/20.08 (step @p112 :rule trans :premises (@p105 @p111)) % 19.88/20.08 (step @p113 :rule cong :premises (@p109 @p112) :args ((tptp.join tptp.b (tptp.join tptp.a @t28)))) % 19.88/20.08 (step @p114 :rule instantiate :premises (@p8) :args (@t56)) % 19.88/20.08 (step @p115 :rule cong :premises (@p109 @p13) :args ((tptp.join tptp.b @t27))) % 19.88/20.08 (step @p116 :rule instantiate :premises (@p17) :args (@t61)) % 19.88/20.08 (step @p117 :rule trans :premises (@p116 @p115)) % 19.88/20.08 (step @p118 :rule cong :premises (@p117 @p81) :args ((tptp.join tptp.b @t28))) % 19.88/20.08 (step @p119 :rule cong :premises (@p99 @p81) :args ((tptp.join @t59 @t28))) % 19.88/20.08 (step @p120 :rule instantiate :premises (@p8) :args ((@list tptp.b tptp.b @t28))) % 19.88/20.08 (step @p121 :rule symm :premises (@p120)) % 19.88/20.08 (step @p122 :rule instantiate :premises (@p6) :args ((@list tptp.b @t28))) % 19.88/20.08 (step @p123 :rule symm :premises (@p122)) % 19.88/20.08 (step @p124 :rule instantiate :premises (@p30) :args (@t54)) % 19.88/20.08 (step @p125 :rule symm :premises (@p124)) % 19.88/20.08 (step @p126 :rule cong :premises (@p81 @p125) :args (@t62)) % 19.88/20.08 (step @p127 :rule trans :premises (@p126 @p123)) % 19.88/20.08 (step @p128 :rule cong :premises (@p109 @p127) :args (@t63)) % 19.88/20.08 (step @p129 :rule trans :premises (@p128 @p121 @p119 @p118 @p114 @p113 @p110 @p102 @p100 @p94 @p93)) % 19.88/20.08 (step @p130 :rule cong :premises (@p34 @p129) :args ((tptp.meet @t29 @t63))) % 19.88/20.08 (step @p131 :rule symm :premises (@p128)) % 19.88/20.08 (step @p132 :rule symm :premises (@p119)) % 19.88/20.08 (step @p133 :rule symm :premises (@p116)) % 19.88/20.08 (step @p134 :rule symm :premises (@p115)) % 19.88/20.08 (step @p135 :rule cong :premises (@p109 @p19) :args ((tptp.join tptp.b (tptp.join tptp.a @t31)))) % 19.88/20.08 (step @p136 :rule instantiate :premises (@p8) :args ((@list tptp.b tptp.a @t31))) % 19.88/20.08 (step @p137 :rule cong :premises (@p117 @p22) :args ((tptp.join tptp.b @t31))) % 19.88/20.08 (step @p138 :rule symm :premises (@p27)) % 19.88/20.08 (step @p139 :rule symm :premises (@p23)) % 19.88/20.08 (step @p140 :rule refl :args (tptp.a)) % 19.88/20.08 (step @p141 :rule cong :premises (@p140 @p32) :args (@t64)) % 19.88/20.08 (step @p142 :rule trans :premises (@p141 @p19)) % 19.88/20.08 (step @p143 :rule cong :premises (@p22 @p142) :args (@t65)) % 19.88/20.08 (step @p144 :rule trans :premises (@p143 @p20 @p19)) % 19.88/20.08 (step @p145 :rule cong :premises (@p42 @p144) :args ((tptp.meet @t38 @t65))) % 19.88/20.08 (step @p146 :rule instantiate :premises (@p7) :args ((@list @t29 @t37 @t65))) % 19.88/20.08 (step @p147 :rule symm :premises (@p146)) % 19.88/20.08 (step @p148 :rule symm :premises (@p144)) % 19.88/20.08 (step @p149 :rule cong :premises (@p78 @p148) :args (@t27)) % 19.88/20.08 (step @p150 :rule trans :premises (@p82 @p149)) % 19.88/20.08 (step @p151 :rule cong :premises (@p34 @p150) :args ((tptp.meet @t29 tptp.a))) % 19.88/20.08 (step @p152 :rule instantiate :premises (@p5) :args ((@list tptp.a @t29))) % 19.88/20.08 (step @p153 :rule trans :premises (@p152 @p151 @p147 @p145 @p139 @p138)) % 19.88/20.08 (step @p154 :rule cong :premises (@p109 @p153) :args (@t66)) % 19.88/20.08 (step @p155 :rule trans :premises (@p154 @p137 @p136 @p135 @p134 @p133 @p124)) % 19.88/20.08 (step @p156 :rule cong :premises (@p81 @p155) :args (@t67)) % 19.88/20.08 (step @p157 :rule trans :premises (@p156 @p126 @p123 @p132 @p120 @p131)) % 19.88/20.08 (step @p158 :rule cong :premises (@p34 @p157) :args (@t68)) % 19.88/20.08 (step @p159 :rule trans :premises (@p158 @p130 @p92)) % 19.88/20.08 (step @p160 :rule cong :premises (@p81 @p159) :args (@t69)) % 19.88/20.08 (step @p161 :rule trans :premises (@p160 @p90)) % 19.88/20.08 (step @p162 :rule cong :premises (@p140 @p161) :args ((tptp.meet tptp.a @t69))) % 19.88/20.08 (step @p163 :rule instantiate :premises (@p12) :args ((@list tptp.a @t28 @t29 tptp.b))) % 19.88/20.08 (step @p164 :rule instantiate :premises (@p6) :args (@t61)) % 19.88/20.08 (step @p165 :rule trans :premises (@p116 @p115 @p164)) % 19.88/20.08 (step @p166 :rule cong :premises (@p34 @p165) :args (@t42)) % 19.88/20.08 (step @p167 :rule symm :premises (@p39)) % 19.88/20.08 (step @p168 :rule trans :premises (@p32 @p167 @p74 @p73 @p166)) % 19.88/20.08 (step @p169 :rule cong :premises (@p81 @p168) :args ((tptp.join @t28 @t33))) % 19.88/20.08 (step @p170 :rule instantiate :premises (@p38) :args ((@list @t28))) % 19.88/20.08 (step @p171 :rule symm :premises (@p170)) % 19.88/20.08 (step @p172 :rule trans :premises (@p171 @p39)) % 19.88/20.08 (step @p173 :rule cong :premises (@p172 @p22) :args ((tptp.meet (tptp.meet @t28 @t70) @t31))) % 19.88/20.08 (step @p174 :rule instantiate :premises (@p7) :args ((@list @t28 @t70 @t31))) % 19.88/20.08 (step @p175 :rule symm :premises (@p174)) % 19.88/20.08 (step @p176 :rule refl :args (@t71)) % 19.88/20.08 (step @p177 :rule eq-symm :args (@t72 tptp.one)) % 19.88/20.08 (step @p178 :rule cong :premises (@p177) :args (@t73)) % 19.88/20.08 (step @p179 :rule eq-symm :args (@t74 tptp.zero)) % 19.88/20.08 (step @p180 :rule cong :premises (@p179) :args (@t75)) % 19.88/20.08 (step @p181 :rule nary_cong :premises (@p180 @p178 @p176) :args (@t76)) % 19.88/20.08 (step @p182 :rule cong :premises (@p58 @p181) :args ((=> @t45 @t76))) % 19.88/20.08 (assume-push @p262 @t45) % 19.88/20.08 (step @p184 :rule instantiate :premises (@p51) :args ((@list @t28 tptp.a))) % 19.88/20.08 (step-pop @p263 :rule scope :premises (@p184)) % 19.88/20.08 (step @p185 :rule process_scope :premises (@p263) :args (@t76)) % 19.88/20.08 (step @p187 :rule eq_resolve :premises (@p185 @p182)) % 19.88/20.08 (step @p188 :rule implies_elim :premises (@p187)) % 19.88/20.08 (step @p189 :rule chain_m_resolution :premises (@p188 @p51) :args (@t81 @t51 @t52)) % 19.88/20.08 (step @p190 :rule trans :premises (@p103 @p105)) % 19.88/20.08 (step @p191 :rule instantiate :premises (@p5) :args (@t30)) % 19.88/20.08 (step @p192 :rule trans :premises (@p39 @p191)) % 19.88/20.08 (step @p193 :rule cnf_or_pos :args (@t81)) % 19.88/20.08 (step @p194 :rule reordering :premises (@p193) :args ((or @t71 @t80 @t78 (not @t81)))) % 19.88/20.08 (step @p195 :rule chain_m_resolution :premises (@p194 @p192 @p190 @p189) :args (@t71 @t55 (@list @t79 @t77 @t81))) % 19.88/20.08 (step @p196 :rule cong :premises (@p195 @p22) :args ((tptp.meet tptp.a @t31))) % 19.88/20.08 (step @p197 :rule instantiate :premises (@p5) :args (@t32)) % 19.88/20.08 (step @p198 :rule trans :premises (@p27 @p23 @p197 @p196)) % 19.88/20.08 (step @p199 :rule cong :premises (@p81 @p198) :args (@t82)) % 19.88/20.08 (step @p200 :rule trans :premises (@p199 @p175 @p173)) % 19.88/20.08 (step @p201 :rule cong :premises (@p81 @p200) :args ((tptp.join @t28 @t82))) % 19.88/20.08 (step @p202 :rule instantiate :premises (@p17) :args ((@list @t28 @t31))) % 19.88/20.08 (step @p203 :rule trans :premises (@p202 @p201 @p169)) % 19.88/20.08 (step @p204 :rule cong :premises (@p13 @p203) :args (@t83)) % 19.88/20.08 (step @p205 :rule trans :premises (@p39 @p83 @p204 @p163 @p162)) % 19.88/20.08 (step @p206 :rule eq-symm :args (@t85 @t28)) % 19.88/20.08 (step @p207 :rule eq-symm :args (@t86 tptp.one)) % 19.88/20.08 (step @p208 :rule cong :premises (@p207) :args (@t87)) % 19.88/20.08 (step @p209 :rule eq-symm :args (@t88 tptp.zero)) % 19.88/20.08 (step @p210 :rule cong :premises (@p209) :args (@t89)) % 19.88/20.08 (step @p211 :rule nary_cong :premises (@p210 @p208 @p206) :args (@t90)) % 19.88/20.08 (step @p212 :rule cong :premises (@p58 @p211) :args ((=> @t45 @t90))) % 19.88/20.08 (assume-push @p264 @t45) % 19.88/20.08 (step @p214 :rule instantiate :premises (@p51) :args ((@list tptp.a @t85))) % 19.88/20.08 (step-pop @p265 :rule scope :premises (@p214)) % 19.88/20.08 (step @p215 :rule process_scope :premises (@p265) :args (@t90)) % 19.88/20.08 (step @p217 :rule eq_resolve :premises (@p215 @p212)) % 19.88/20.08 (step @p218 :rule implies_elim :premises (@p217)) % 19.88/20.08 (step @p219 :rule chain_m_resolution :premises (@p218 @p51) :args (@t96 @t51 @t52)) % 19.88/20.08 (step @p220 :rule symm :premises (@p14)) % 19.88/20.08 (step @p221 :rule false_intro :premises (@p220)) % 19.88/20.08 (step @p222 :rule instantiate :premises (@p6) :args ((@list @t28 @t29))) % 19.88/20.08 (step @p223 :rule symm :premises (@p88)) % 19.88/20.08 (step @p224 :rule cong :premises (@p13 @p81) :args (@t83)) % 19.88/20.08 (step @p225 :rule symm :premises (@p80)) % 19.88/20.08 (step @p226 :rule symm :premises (@p78)) % 19.88/20.08 (step @p227 :rule cong :premises (@p226 @p22) :args (@t97)) % 19.88/20.08 (step @p228 :rule trans :premises (@p227 @p225 @p224)) % 19.88/20.08 (step @p229 :rule cong :premises (@p34 @p228) :args ((tptp.meet @t29 @t97))) % 19.88/20.08 (step @p230 :rule trans :premises (@p167 @p40)) % 19.88/20.08 (step @p231 :rule cong :premises (@p230 @p22) :args (@t33)) % 19.88/20.08 (step @p232 :rule trans :premises (@p231 @p44 @p229)) % 19.88/20.08 (step @p233 :rule cong :premises (@p34 @p232) :args (@t34)) % 19.88/20.08 (step @p234 :rule trans :premises (@p139 @p138 @p31)) % 19.88/20.08 (step @p235 :rule cong :premises (@p34 @p234) :args (@t84)) % 19.88/20.08 (step @p236 :rule trans :premises (@p235 @p233 @p223)) % 19.88/20.08 (step @p237 :rule cong :premises (@p81 @p236) :args (@t85)) % 19.88/20.08 (step @p238 :rule trans :premises (@p237 @p222)) % 19.88/20.08 (step @p239 :rule cong :premises (@p81 @p238) :args (@t91)) % 19.88/20.08 (step @p240 :rule trans :premises (@p239 @p221)) % 19.88/20.08 (step @p241 :rule false_elim :premises (@p240)) % 19.88/20.08 (step @p242 :rule cong :premises (@p140 @p90) :args ((tptp.join tptp.a @t58))) % 19.88/20.08 (step @p243 :rule instantiate :premises (@p8) :args ((@list tptp.a @t28 @t29))) % 19.88/20.08 (step @p244 :rule trans :premises (@p128 @p121 @p119 @p118 @p114 @p113 @p110 @p102 @p100 @p94 @p103)) % 19.88/20.08 (step @p245 :rule cong :premises (@p244 @p34) :args ((tptp.join @t63 @t29))) % 19.88/20.08 (step @p246 :rule instantiate :premises (@p5) :args (@t98)) % 19.88/20.08 (step @p247 :rule trans :premises (@p246 @p130 @p92)) % 19.88/20.08 (step @p248 :rule refl :args (@t63)) % 19.88/20.08 (step @p249 :rule cong :premises (@p248 @p247) :args ((tptp.join @t63 (tptp.meet @t63 @t29)))) % 19.88/20.08 (step @p250 :rule instantiate :premises (@p17) :args (@t98)) % 19.88/20.08 (step @p251 :rule symm :premises (@p118)) % 19.88/20.08 (step @p252 :rule symm :premises (@p114)) % 19.88/20.08 (step @p253 :rule symm :premises (@p113)) % 19.88/20.08 (step @p254 :rule symm :premises (@p110)) % 19.88/20.08 (step @p255 :rule symm :premises (@p100)) % 19.88/20.08 (step @p256 :rule trans :premises (@p71 @p255 @p101 @p254 @p253 @p252 @p251 @p132 @p120 @p131 @p250 @p249 @p245 @p243 @p242)) % 19.88/20.08 (step @p257 :rule cnf_or_pos :args (@t96)) % 19.88/20.08 (step @p258 :rule reordering :premises (@p257) :args ((or @t95 @t93 @t91 (not @t96)))) % 19.88/20.08 (step @p259 false :rule chain_m_resolution :premises (@p258 @p256 @p241 @p219 @p205) :args (false (@list false true false false) (@list @t92 @t91 @t96 @t94))) % 19.88/20.08 ) % 19.88/20.08 % SZS output end Proof % 19.88/20.08 % cvc5 exiting %------------------------------------------------------------------------------